Finding the Third Proportional to 210,896 and 497,828
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Solution
The third proportional to 210,896 and 497,828 is: 1,175,141.86
Step by Step Solution
- Step 1: Write the proportion equation
210,896 : 497,828 = 497,828 : x - Step 2: Convert to fraction form
210,896/497,828 = 497,828/x - Step 3: Cross multiply
210,896x = 497,828 × 497,828 - Step 4: Simplify right side
210,896x = 247,832,717,584 - Step 5: Solve for x
x = 247,832,717,584/210,896 - Step 6: Final answer
x = 1,175,141.86
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.